A high-order control volume finite element method for 3-D transient heat conduction analysis of multilayer functionally graded materials

摘要

A new three-dimensional (3-D) control volume finite element method (CV-FEM) has been developed for transient heat conduction in multilayer functionally graded materials (FGMs). A 10-node tetrahedral grid is chosen for spatial discretization and a backward difference scheme is adapted for time discretization. By using quadratic tetrahedral grids, the present CV-FEM offers greater potential for enhanced geometric flexibility and for improved numerical accuracy over the linear CV-FEM. The temperature and material properties are defined at the node. Three different types of material variation (exponential, quadratic and trigonometric) are considered in the analysis. Several test cases are provided to verify the numerical implementation. The results of the test cases are in good agreement with analytical solutions and other numerical simulation results.